Abstract
Let A be a smooth affine domain of dimension d over an infinite perfect field k and let n be an integer such that 2n ≥ d + 3. Let I ⊂A[T] be an ideal of height n. Assume that I = (f 1 ,...,f n ) + (I 2 T). Under these assumptions, it is proved in this paper that I = (g 1 ,...,g n ) with f i - g i ⊂ (I 2 T), thus settling a question of Nori affirmatively.
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